Abstract
There is a gap in the proofs of both Propositions 3 and 4 in the correspondence “Queue-Proportional Rate Allocation with Per-Link Information in Multihop Wireless Networks,” previously published in the Queueing Systems (see Li and Srikant 2016). We filled this gap in the proofs for the multihop networks (see Li and Srikant in Queueing Syst 84:203–210, 2016), where each route at most has two links. In this note, we completely fill the gap in the proofs in our original paper (see Li and Srikant in Queueing Syst 83:329–359, 2016).
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References
Dai, J.G.: On positive harris recurrence of multiclass queueing networks: a unified approach via fluid limit models. Ann. Appl. Probab. 5, 49–77 (1995)
Li, B., Srikant, R.: Correction to “Queue-proportional rate allocation with per-link information in multihop wireless networks”. Queueing Syst. 84, 203–210 (2016)
Li, B., Srikant, R.: Queue-proportional rate allocation with per-link information in multihop wireless networks. Queueing Syst. 83, 329–359 (2016)
Acknowledgements
We thank Prof. Jim Dai for providing us the key idea behind the proof presented here. In particular, he showed that our algorithm is stable for the special case of a network with one flow over two links. The Lyapunov function in (2) is a generalization of the one he used for that network.
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Li, B., Srikant, R. Correction to “Queue-proportional rate allocation with per-link information in multihop wireless networks”. Queueing Syst 85, 383–385 (2017). https://doi.org/10.1007/s11134-017-9517-2
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DOI: https://doi.org/10.1007/s11134-017-9517-2